摘要
本文证明了NortonA.所提出的猜测.在映射具有适当可微性的假设下,对 秩为r的集合,刻画了它的像的Hausdorff测度.
The aim of this article is to prove a conjecture posed by A.Norton. The question of how complicated images of sets of rank r will be is answered by relating its Hausdorff dimension to the differentiability of the map.
出处
《数学学报(中文版)》
SCIE
CSCD
北大核心
2000年第3期445-456,共12页
Acta Mathematica Sinica:Chinese Series
基金
浙江自然科学基金!(198039)